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Finding the Third Proportional to 50,159 and 107,878

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Solution

The third proportional to 50,159 and 107,878 is: 232,015.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,159 : 107,878 = 107,878 : x
  2. Step 2: Convert to fraction form
    50,159/107,878 = 107,878/x
  3. Step 3: Cross multiply
    50,159x = 107,878 × 107,878
  4. Step 4: Simplify right side
    50,159x = 11,637,662,884
  5. Step 5: Solve for x
    x = 11,637,662,884/50,159
  6. Step 6: Final answer
    x = 232,015.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.